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Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System

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  • Huixian Cai
  • Chaohong Pan
  • Zhengrong Liu

Abstract

We study the bifurcations of nonlinear waves for the generalized Drinfel’d-Sokolov system called system. We reveal some interesting bifurcation phenomena as follows. (1) For system, the fractional solitary waves can be bifurcated from the trigonometric periodic waves and the elliptic periodic waves, and the kink waves can be bifurcated from the solitary waves and the singular waves. (2) For system, the compactons can be bifurcated from the solitary waves, and the peakons can be bifurcated from the solitary waves and the singular cusp waves. (3) For system, the solitary waves can be bifurcated from the smooth periodic waves and the singular periodic waves.

Suggested Citation

  • Huixian Cai & Chaohong Pan & Zhengrong Liu, 2014. "Some Interesting Bifurcations of Nonlinear Waves for the Generalized Drinfel’d-Sokolov System," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-20, July.
    • Handle: RePEc:hin:jnlaaa:189486
    DOI: 10.1155/2014/189486
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